Distance Ratio Metric on the Unit Disk
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2014, Vol 6, Issue 3
Abstract
We prove Lipschitz continuity of arbitrary analytic mapping f : D --> D regarding the distance ratio metric with the Lipschitz constant C = 2. This represents a generalization for the unit disk domain of Gehring - Palka theorem on Mobius transformations.
Authors and Affiliations
Slavko Simic
Keywords
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- EP ID EP651315
- DOI 10.24297/jam.v6i3.3662
- Views 152
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